derivative of axcos(x+bxsin(x))

Lösung

\frac{d}{d x} (a x cos (x) + b x sin (x))

a (cos (x) - x sin (x)) + b (sin (x) + x cos (x))

Schritte zur Lösung

\frac{d}{d x} (a x cos (x) + b x sin (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (a x cos (x)) + \frac{d}{d x} (b x sin (x))

\frac{d}{d x} (a x cos (x)) = a (cos (x) - x sin (x))

\frac{d}{d x} (b x sin (x)) = b (sin (x) + x cos (x))

= a (cos (x) - x sin (x)) + b (sin (x) + x cos (x))

x \to 6 + lim (6 - x)

d er i v a t i v e 4 x^{2} sin (x) tan (x)

\int \frac{3 x}{4 x ^{2} + 5} d x

\frac{d}{d x} (7 - 2 x)

\int_{1}^{e} x^{2} ln (x) d x